How to find standard deviation of a seemingly qualitative data set?

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My data set is the Wins of a baseball team. They have 8 wins, 5 losses, and 1 tie. A tie is counted as 1/2 of a win, so there are 8.5 wins. The probability of the team winning based on this data is then 8.5/14, or 0.607. How would I find the standard deviation of the number of wins? I feel like I'm overthinking this but I'm not sure what to use for my x values would be in this instance

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If you limit this to a purely academic binomial type problem, then the formula for standard deviation is:

$\sigma_x = \sqrt{np(1-p)}$

$\sigma_x = \sqrt{14(.607)(.393)}$

$\sigma_x = 1.8275$